Abstract
The principles of event-based control appear to be a
backbone of many self-coordinating natural systems. Populations of
flashing fireflies and cells of the cardiac pacemakers are believed to
reach synchrony via event-based interactions, known as the pulse
coupling. Synchronization via pulse coupling is also widely used in
wireless sensor networks, allowing to avoid the packet exchange. In
spite of serious attention to networks of coupled oscillators, there
is a lack of results on their synchronization under general topology
and phase-response curves. The most general, to the best of the
authors’ knowledge, result of this type (Wang et al., 2012) establishes
synchronization of oscillators with a delay-advance phase-response
curve under the assumption of strongly connected network topology. In
this paper we relax the latter assumption to the existence of an oriented
spanning tree, which is also necessary for the synchronization, being
commonly adopted in multi-agent control.
backbone of many self-coordinating natural systems. Populations of
flashing fireflies and cells of the cardiac pacemakers are believed to
reach synchrony via event-based interactions, known as the pulse
coupling. Synchronization via pulse coupling is also widely used in
wireless sensor networks, allowing to avoid the packet exchange. In
spite of serious attention to networks of coupled oscillators, there
is a lack of results on their synchronization under general topology
and phase-response curves. The most general, to the best of the
authors’ knowledge, result of this type (Wang et al., 2012) establishes
synchronization of oscillators with a delay-advance phase-response
curve under the assumption of strongly connected network topology. In
this paper we relax the latter assumption to the existence of an oriented
spanning tree, which is also necessary for the synchronization, being
commonly adopted in multi-agent control.
| Original language | English |
|---|---|
| Title of host publication | Proc. of the First IEEE Conference on Event-Based Control, Communication and Signal Processing |
| Subtitle of host publication | IEEE |
| Number of pages | 6 |
| Publication status | Published - 17-Jun-2015 |
| Event | The First IEEE International Conference on Event-Based Control, Communication, and Signal Processing - Krakow, Poland Duration: 17-Jun-2015 → 19-Jun-2015 |
Conference
| Conference | The First IEEE International Conference on Event-Based Control, Communication, and Signal Processing |
|---|---|
| Country | Poland |
| City | Krakow |
| Period | 17/06/2015 → 19/06/2015 |